Advanced search
1 file | 631.30 KB

Cameron-Liebler k-classes in PG(2k+1,q)

(2018) COMBINATORICA. 38(3). p.739-757
Author
Organization
Abstract
We look at a generalization of Cameron-Liebler line classes to sets of k-spaces, focusing on results in PG(2k + 1, q). Here we obtain a connection to k-spreads which parallels the situation for line classes in PG(3, q). After looking at some characterizations of these sets and some of the difficulties that arise in contrast to the known results for line classes, we give some connections to various other geometric objects including k-spreads and Erdos-Ko-Rado sets, and prove results concerning the existence of these objects.
Keywords
LINE CLASSES, VECTOR-SPACES, NONEXISTENCE, CONSTRUCTION, DESIGNS

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 631.30 KB

Citation

Please use this url to cite or link to this publication:

Chicago
Rodgers, Morgan , Leo Storme, and Andries Vansweevelt. 2018. “Cameron-Liebler K-classes in PG(2k+1,q).” Combinatorica 38 (3): 739–757.
APA
Rodgers, M., Storme, L., & Vansweevelt, A. (2018). Cameron-Liebler k-classes in PG(2k+1,q). COMBINATORICA, 38(3), 739–757.
Vancouver
1.
Rodgers M, Storme L, Vansweevelt A. Cameron-Liebler k-classes in PG(2k+1,q). COMBINATORICA. 2018;38(3):739–57.
MLA
Rodgers, Morgan , Leo Storme, and Andries Vansweevelt. “Cameron-Liebler K-classes in PG(2k+1,q).” COMBINATORICA 38.3 (2018): 739–757. Print.
@article{8618522,
  abstract     = {We look at a generalization of Cameron-Liebler line classes to sets of k-spaces, focusing on results in PG(2k + 1, q). Here we obtain a connection to k-spreads which parallels the situation for line classes in PG(3, q). After looking at some characterizations of these sets and some of the difficulties that arise in contrast to the known results for line classes, we give some connections to various other geometric objects including k-spreads and Erdos-Ko-Rado sets, and prove results concerning the existence of these objects.},
  author       = {Rodgers, Morgan  and Storme, Leo and Vansweevelt, Andries},
  issn         = {0209-9683},
  journal      = {COMBINATORICA},
  keywords     = {LINE CLASSES,VECTOR-SPACES,NONEXISTENCE,CONSTRUCTION,DESIGNS},
  language     = {eng},
  number       = {3},
  pages        = {739--757},
  title        = {Cameron-Liebler k-classes in PG(2k+1,q)},
  volume       = {38},
  year         = {2018},
}

Web of Science
Times cited: